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# Various Geometry Problems

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https://brainmass.com/math/curves/various-geometry-problems-446877

#### Solution Preview

1.
No. of faces (F) = ?
No. of Edges (E) = 10
No. of vertices (V) = 6

Eular's formula:
F+V-E = 2
=> F+6-10 = 2 => F = 6 --Answer

2. Circle with thick line (answer d)

3.
Answer is A -- Because the plane shown is tilted & intersects with left & right faces. -- You can clearly see that plane shown intersects with both upper & lower edges of right & left faces. --Answer

4.
Surface area of the prism = 2*(3*5+5*10+10*3) = 190 square inches -- Answer

5.
Height of each face of shape triangle = sqrt ( 8^2 + (8/2)^2) = 8.9443 m
Hence surface area of each triangular face = (1/2)*8*8.9443 m^2
Total surface area = 4 Top faces + 4 vertical faces + bottom = 4*(1/2)*8*8.9443 + 4*8*9 + 8*8 = 495 m^2 --Answer

6.
Base area = 7*12 ft^2
Height = 7 ft
Volume = (1/2)*base * height =(1/2)*7*7*12 = 294 ft^3 --Answer

7.
Area = 14*9 yd^2
Height = 4 in = (4/12) ft = (1/3) ft = (1/3)/3 yd = ...

#### Solution Summary

The solution solves various geometry problems.

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